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61426320 = 24352111213
BaseRepresentation
bin1110101001010…
…0101010010000
311021120210001220
43222110222100
5111211120240
610032325040
71344054324
oct352245220
9137523056
1061426320
113174555a
12186a3780
13c959247
14822d984
1555d55d0
hex3a94a90

61426320 has 80 divisors (see below), whose sum is σ = 191481792. Its totient is φ = 16289280.

The previous prime is 61426301. The next prime is 61426331. The reversal of 61426320 is 2362416.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50034 + ... + 51246.

Almost surely, 261426320 is an apocalyptic number.

61426320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61426320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95740896).

61426320 is an abundant number, since it is smaller than the sum of its proper divisors (130055472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61426320 is a wasteful number, since it uses less digits than its factorization.

61426320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 61426320 is about 7837.4944976057. The cubic root of 61426320 is about 394.5646434506.

Adding to 61426320 its reverse (2362416), we get a palindrome (63788736).

The spelling of 61426320 in words is "sixty-one million, four hundred twenty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 211 240 422 633 844 1055 1213 1266 1688 2110 2426 2532 3165 3376 3639 4220 4852 5064 6065 6330 7278 8440 9704 10128 12130 12660 14556 16880 18195 19408 24260 25320 29112 36390 48520 50640 58224 72780 97040 145560 255943 291120 511886 767829 1023772 1279715 1535658 2047544 2559430 3071316 3839145 4095088 5118860 6142632 7678290 10237720 12285264 15356580 20475440 30713160 61426320